Solve 0.5m-3.5=2(1.6m+3.5)

$$0.5 m - 3.5 = 2 ( 1.6 m + 3.5 )$$

Solve for m

$$m = -\frac{35}{9} = -3\frac{8}{9} \approx -3.888888889$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 1.6m+3.5.

$$0.5m-3.5=3.2m+7$$

Subtract 3.2m from both sides.

$$0.5m-3.5-3.2m=7$$

Combine 0.5m and -3.2m to get -2.7m.

$$-2.7m-3.5=7$$

Add 3.5 to both sides.

$$-2.7m=7+3.5$$

Add 7 and 3.5 to get 10.5.

$$-2.7m=10.5$$

Divide both sides by -2.7.

$$m=\frac{10.5}{-2.7}$$

Expand \frac{10.5}{-2.7} by multiplying both numerator and the denominator by 10.

$$m=\frac{105}{-27}$$

Reduce the fraction \frac{105}{-27} to lowest terms by extracting and canceling out 3.

$$m=-\frac{35}{9}$$